On common bases of the spaces \(A(G)\) and \(\overline A (\overline G)\) (Q1972181)
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scientific article; zbMATH DE number 1432189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On common bases of the spaces \(A(G)\) and \(\overline A (\overline G)\) |
scientific article; zbMATH DE number 1432189 |
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On common bases of the spaces \(A(G)\) and \(\overline A (\overline G)\) (English)
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16 April 2000
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The author considers the space \(A(G)\) of analytic functions in a simply connected domain \(G\subset\mathbb C\) with the topology of uniform convergence on a compact set and the space \(\overline A(\overline G)\) of analytic functions in the closed domain \(\overline G\) with the dual inductive topology. The question of existence and uniqueness of a common basis for \(A(G)\) and \(\overline A(\overline G)\) is studied.
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analytic spaces \(A(G)\), \(\overline{A}(\overline{G})\)
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common bases
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existence and uniqueness of common bases
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